Article ID Journal Published Year Pages File Type
844100 Nonlinear Analysis: Theory, Methods & Applications 2008 11 Pages PDF
Abstract

We study the existence and multiplicity of positive periodic solutions of Hill’s equations with singular nonlinear perturbations. The new results are applicable to the case of a strong singularity as well as the case of a weak singularity. The proof relies on a nonlinear alternative principle of Leray–Schauder and a fixed point theorem in cones. Some recent results in the literature are generalized and improved.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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